4. The gambler wants to know whether or not the probability of winning with his new strategy is 0.50. What would you tell him? State your answer in complete sentences.

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A Game of Strategy
Pretend that a Las Vegas gambler has developed a new strategy at blackjack. In order to test his new
strategy, he plays fifty games. He is interested in p, the probability of winning a game while using his
new strategy, proportion of games that are wins in a population of blackjack games. (He does not
know that under his new strategy, the probability of winning a game is p = 0.52). What is the
gambler's 95% confidence interval for p?
1. First we need to simulate the 50 games the gambler is playing. Use randBin( on your calculator.
Type randBin(50, .52) in your calculator, which will give you the number of wins for the 50 games.
How many wins are there?
2. Construct a 95% confidence interval for the 50 games played by the gambler.
3. Did the gambler's 95% confidence interval capture p= 0.52?
4. The gambler wants to know whether or not the probability of winning with his new strategy is 0.50.
What would you tell him? State your answer in complete sentences.
Transcribed Image Text:A Game of Strategy Pretend that a Las Vegas gambler has developed a new strategy at blackjack. In order to test his new strategy, he plays fifty games. He is interested in p, the probability of winning a game while using his new strategy, proportion of games that are wins in a population of blackjack games. (He does not know that under his new strategy, the probability of winning a game is p = 0.52). What is the gambler's 95% confidence interval for p? 1. First we need to simulate the 50 games the gambler is playing. Use randBin( on your calculator. Type randBin(50, .52) in your calculator, which will give you the number of wins for the 50 games. How many wins are there? 2. Construct a 95% confidence interval for the 50 games played by the gambler. 3. Did the gambler's 95% confidence interval capture p= 0.52? 4. The gambler wants to know whether or not the probability of winning with his new strategy is 0.50. What would you tell him? State your answer in complete sentences.
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